Which coordinate pair identifies the center of the circle represented by 4x2 + 4y2 − 16x − 24y + 36 = 0. a) (2, 3) b) (3, 2) c) (0, 0) d) (−3, 2)

Option A is correct

Coordinate pair identifies the center of the circle is, (2 , 3)

Step-by-step explanation:

the general equation of the circle is given by :

; where (a, b) represents the coordinates of the circle  and r is the radius of the circle.

Given :

Take common 4 from above equation we have:

Divide both sides by 4 we get;

Add and subtract 4 in above equation:

Add and subtract 9 in above equation:

or

Using identity:

On comparing with the general equation of the circle we have;

a = 2 , b= 3 and r = 2

Therefore, the coordinate pair identifies the center of the circle is, (2 , 3)

a

step-by-step explanation:

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